Radium-226 has a half-life of 1660 years. How many years does it take a radium sample to decay to 55% of the original amount? Round your answer to the nearest year.

Complete question :

Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts.

(a) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.

(b) Sarah’s and Toby’s mother says the order she is filling needs 158 charms. How many bracelets were purchased in this order?

(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s notpossible for an order to need 264 charms. Is Sarah right? Why or why not? Justify your answer.

Answer:

y = 17x + 5 ;

9 bracelets ;

Sarah is right

Step-by-step explanation:

Contents per bracelet :

Small charms per bracelet = 12

Large charms per bracelet = 5

Blank spacer charms per order = 5

Number charms, y needed for X bracelets in an order ;

1 order ; x bracelets

12 + 5 = 17 small and large charms

5 = black spacer charms per order

y = 17x + 5

B.)

Order requiring 158 charms, number of bracelets :

y = 158

158 = 17x + 5

158 - 5 = 17x

153 = 17x

x = 153 / 17

x = 9 bracelets

Order requiring 264 charms

y = 264

264 = 17x + 5

264 - 5 = 17x

259 = 17x

x = 259 / 17

x = 15.23 bracelets

Sarah is right, the number of bracelets should be a positive integer and not a decimal.

Answer:

A) $5.5= 0.25(17)+0.05(n) where n = nickels

B) 25 nickels

Step-by-step explanation:

Answer:

X=14

Step-by-step explanation:

We know that both sides are congruent

so if the other angle is 7- then divide 70 by 5

Hope this helps ^-^

Step-by-step explanation:

step 1. a quadrilateral has 4 sides and 360° internally.

step 2. 70 + 5x + 110(2) = 360.

step 3. 5x = 70

step 4. x = 14.

The additional piece of information would allow you to prove that the triangles are congruent by the HL theorem is AB ≅ DE

The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Given that two triangles Δ ABC and Δ DEF,

To prove them congruent by HL Postulate, we need one more side to be congruent, as the hypotenuse of both are already congruent.

Therefore, the sides should be either BC ≅ FE or AB ≅ DE

In options, AB ≅ DE is given.

Hence, The additional piece of information would allow you to prove that the triangles are congruent by the HL theorem is AB ≅ DE

For more references on HL theorem, click;

https://brainly.com/question/3914939

#SPJ2

Answer:

$0.62

Step-by-step explanation:

Answer:

$0.62 ......................

Answer:

I think it's correct but tell me if I'm wrong

Answer:

A system of equations consists of two or more equations with two or more variables, where any solution must satisfy all of the equations in the system at the same time.

Answer:

12 is the GCF..........

Answer:

12

Step-by-step explanation:

listing the factors

12 : 1, 2, 3, 4, 6, 12

24 : 1, 2, 3, 4, 6, 8, 12, 24

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

The common factors are 1, 2, 3, 4, 6, 12

The GCF is 12

Answer:

3 mi * 15 min/mi = 45 min

Step-by-step explanation:

Answer: I think it is A or B

Step-by-step explanation:

Answer:

27 buckets.

Step-by-step explanation:

If we multiply the 9 gallons of paint by the denominator of the number of gallons that fit into one of the buckets we can discover the answer to the question.

Brainliest please.

Answer:

The answer is 8.

Step-by-step explanation:

This question can be written as the equation x-10=-2. With this equation in mind we can get straight ahead to solving. This is just a one-step equation and all we need to do to get our answer from this point is just add 10 to both sides using the addition property of equality and once we do that we have X=8.

Answer:

Your answer is

12$ per hour

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

Answer:

answer is 15/6 or 2 and 1/2 cups

Answer:

28,080

Step-by-step explanation:

Answer:

=8x^4+2x^3−6x^2+21x−18

Step-by-step explanation:

(2x2+2x−3)(4x2−3x+6)

Answer:

can u give me the formula for this then i might be able to help

Step-by-step explanation:

Answer:

360.81

Step-by-step explanation:

Answer:

Yes because you can multiply the numerator and denominator by 2.5 to get 10/30 so it is proportional

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

it makes 2/3 when reduced

Answer:

Seven dollars

Step-by-step explanation:

Answer:

The numbers slowly decrease by 4 so we can determine that the 40th sequence is -70.

Step-by-step explanation:

umm so

Step-by-step explanation:

wait ill answer that just now let me work it out

Answer:

9x^5

Step-by-step explanation:

the factors of 45:

1, 3, 5, 9, 15, 45

the factors of 36:

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest common is 9

Answer:

The answer is 3

Step-by-step explanation:

because I said so

Answer:

10. 264

11. 13

Step-by-step explanation:

10- When we are doing perimeter we add all the sides together. Since it's a square this time, we know all the sides are even at 66ft.

 66+66+66+66= 264

 I added 4 times for each side we have and we get the perimeter of 264

11- When dealing with area, all we need is two numbers. To get area we multiply the length and width. If we have the area and want either length or width, we can still easily do that. All we have to do is divide the area from your given number.

 65 divided by 5 is 13

 Area divided by Length is Width

Answer:

#10= 264

#11= 13

Step-by-step explanation:

#10: We can see that this is a square because it says so in the question so we can assume that if it is a square then all the lengths and widths are 66 feet. 4(66) = 264 or 66+66+66+66 = 264

#11: 65/5 = 13 because it is dealing with area, simply just divide the total of area by the known length to get the width.

Answer:

second which would be c for edg

Step-by-step explanation:

Answer: 15%

Step-by-step explanation:

From the question, we are informed that a shop makes £2,750 in March while it made £3,162.50 in April. The increase will be:

= £3,162.50 - £2,750

= £412.50

Percentage increase = £412.50/ £2750 × 100

= 15%

Answer:

[tex]\frac{-1}{7}[/tex] or 0.14

Step-by-step explanation:

To find slope you can use the formula

mx=[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

or

[tex]\frac{rise}{run}[/tex]

Rise over run:

Rise over run is the easiest of the two so we'll be using that one first for this question, but both should give you the same answer

To find rise over run, select the points and see how many points up or down you must got to make it the same level as the other point

In this case, the point (-3,1) would have a run of -1 because you have to move down one

To find run, now that you have rise start from that point and count how far you have to go to get to the next point. You should be going in a straight line.

The run would be 7.

Now you make it a fraction/division problem

[tex]\frac{rise}{run} =\frac{-1}{7}[/tex]

-0.14285714285714285714285714285714 <- decimal value

-0.14

Depending on what it means by reduce, your answer will either be -1/7 or the decimal. Use the reduced decimal value if it's asking for a decimal

I've included a picture in case my explanation was not satisfactory or you need a visual.

Slope form:

Identify the two points

First one will be (-3,1)

Second one would be (4,0)

Now label them

-3 will be x1

1 is y1

4 is x2

0 is y2

You will be using [tex]\frac{y2-y1}{x2-x1}[/tex]

Put the values into the equation

[tex]\frac{0-1}{4--3} =\frac{0-1}{4+3} =\frac{-1}{7}[/tex]

You get the same thing as the previous way.

Same answer

Visuals also included

I hope this helps and don't be afraid to reach out with further questions!

Answer:

yes

Step-by-step explanation:

If x = 5,

4x=4*5=20

15+x=15+5=20

They're both the same.

Yes

Step-by-step explanation:

x = 5

4(5) = 15 + (5)

20 = 20

Step-by-step explanation:

divide it by 2...............

Answer:

1 is correct.

2 is incorrect.

3 is correct.

4 is correct.

5 is correct.

6 is incorrect.

Step-by-step explanation:

You're welcome, hope I helped.